1011012112057 has 2 divisors, whose sum is σ = 1011012112058. Its totient is φ = 1011012112056.

The previous prime is 1011012112013. The next prime is 1011012112091. The reversal of 1011012112057 is 7502112101101.

1011012112057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 853977443881 + 157034668176 = 924109^2 + 396276^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011012112057 - 2¹⁹ = 1011011587769 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011012112157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505506056028 + 505506056029.

It is an arithmetic number, because the mean of its divisors is an integer number (505506056029).

Almost surely, 2^{1011012112057} is an apocalyptic number.

It is an amenable number.

1011012112057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011012112057 is an equidigital number, since it uses as much as digits as its factorization.

1011012112057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 22.

Adding to 1011012112057 its reverse (7502112101101), we get a palindrome (8513124213158).

The spelling of 1011012112057 in words is "one trillion, eleven billion, twelve million, one hundred twelve thousand, fifty-seven".